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DanielleElmas [232]
3 years ago
12

What is the correct answer?

Mathematics
1 answer:
egoroff_w [7]3 years ago
4 0
X⁴ - 81  = x⁴ - 9² (Difference of 2 squares, then we an write it:


(x²-3)(x²+3) =0, → then (x²-3) = 0 and (x²+3)=0

(x²-3) = 0 → x² = 3 → x = +√3 and x = -√3
(x²+3) =0 → x² = -3 → x = +√-3  and x = -√3→ or  i√3 AND  x = -i√3

A{ -3 , +3 , -i√3 , i√3}

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Juli2301 [7.4K]
<h3>Answer:   n = 9</h3>

========================================================

Explanation:

Let's assume that n is not negative. If we tried the smallest nonnegative value, n = 0, then we get

  • 30+n = 30+0 = 30
  • n/3 = 0/3 = 0
  • sqrt(n+16) = sqrt(0+16) = 4

The middle result 0 isn't a natural number. The set of natural numbers is {1,2,3,4,...} which is the set of positive whole numbers.

So we can't use n = 0.

Through trial and error, you should find that n = 9 is the next value we can try such that sqrt(n+16) is a natural number, and so is n/3.

If n = 9, then,

  • 30+n = 30+9 = 39
  • n/3 = 9/3 = 3
  • sqrt(n+16) = sqrt(9+16) = 5

We see that the middle result is now larger than 0 and it's a natural number. The same can be said for the last result as well.

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3 years ago
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a carpenter sands 1/2 of a dresser in 3/4 of an hour. At this rate, how long does it take the carpenter to sand 1 dresser​
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Step-by-step explanation:

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3 years ago
The frequency of vibration of a piano string varies directly as the square root of the tension on the string and inversely as th
artcher [175]

Answer:

  about 409.946 Hz

Step-by-step explanation:

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balandron [24]

Answer:

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Step-by-step explanation:

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1 .

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2.

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